Trigonometric approximation of functions in \(L _{p}\)-norm
type: Item
instance of: scholarly article
title: Trigonometric approximation of functions in \(L _{p}\)-norm
zbMATH Open document ID: 1011.42001
DOI: 10.1016/S0022-247X(02)00211-1
author: Prem Chandra
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: This is a very nice paper. The author investigates trigonometric polynomials associated with \(f\in \text{Lip}(\alpha, p)\) (\(0<\alpha\leq 1\), \(p\geq 1\)) to approximate \(f\) in \(L_p\)-norm to the degree of \(O(n^{-\alpha})\) \((0<\alpha\leq 1)\). The most interesting results treat the case \(\alpha= 1\). His three new theorems have numerous attractive corollaries, some of them give sharper estimates than the known ones.
Mathematics Subject Classification ID: 42A10
zbMATH DE Number: 1866667
zbMATH Keywords: trigonometric approximation
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: \(L_p\)-norm
reviewed by: László Leindler
MaRDI profile type: Publication
cites work: Q3802022
cites work: Q3784571
cites work: Q5201725
cites work: Q3667365
cites work: Error bounds in the approximation of functions
cites work: Trigonometric approximation in the mean
full work available at URL: s0022-247x(02)00211-1
OpenAlex ID: W2002092668
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description: scientific article; zbMATH DE number 1866667